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At these extreme irradiation levels, we expect an increase in heat redistribution efficiency and a low Bond albedo owed to an extended atmosphere with molecular hydrogen dissociation occurring on the planetary dayside. We present new photometric observations of the KELT-9 system throughout 4 full orbits and 9 separate occultations obtained by the 30 cm space telescope CHEOPS. The CHEOPS bandpass, located at optical wavelengths, captures the peak of the thermal emission spectrum of KELT-9b. In this work we simultaneously analyse CHEOPS phase curves along with public phase curves from TESS and <jats:italic>Spitzer<\/jats:italic> to infer joint constraints on the phase curve variation, gravity-darkened transits, and occultation depth in three bandpasses, as well as derive 2D temperature maps of the atmosphere at three different depths. We find a day-night heat redistribution efficiency of ~0.3 which confirms expectations of enhanced energy transfer to the planetary nightside due to dissociation and recombination of molecular hydrogen. We also calculate a Bond albedo consistent with zero. We find no evidence of variability of the brightness temperature of the planet, excluding variability greater than 1%<\/jats:p>","DOI":"10.1051\/0004-6361\/202243823","type":"journal-article","created":{"date-parts":[[2022,8,11]],"date-time":"2022-08-11T18:49:58Z","timestamp":1660243798000},"page":"A118","source":"Crossref","is-referenced-by-count":25,"title":["The stable climate of KELT-9b"],"prefix":"10.1051","volume":"666","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2316-6850","authenticated-orcid":false,"given":"K.","family":"Jones","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2528-3409","authenticated-orcid":false,"given":"B. 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